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Finding the Third Proportional to 13,420,683 and 29,232,775

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Solution

The third proportional to 13,420,683 and 29,232,775 is: 63,674,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420,683 : 29,232,775 = 29,232,775 : x
  2. Step 2: Convert to fraction form
    13,420,683/29,232,775 = 29,232,775/x
  3. Step 3: Cross multiply
    13,420,683x = 29,232,775 × 29,232,775
  4. Step 4: Simplify right side
    13,420,683x = 854,555,134,200,625
  5. Step 5: Solve for x
    x = 854,555,134,200,625/13,420,683
  6. Step 6: Final answer
    x = 63,674,489.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.